Finding the Third Proportional to 82,784 and 114,268

Step by Step Solution

1. Step 1: Write the proportion equation
   82,784 : 114,268 = 114,268 : x
2. Step 2: Convert to fraction form
   82,784/114,268 = 114,268/x
3. Step 3: Cross multiply
   82,784x = 114,268 × 114,268
4. Step 4: Simplify right side
   82,784x = 13,057,175,824
5. Step 5: Solve for x
   x = 13,057,175,824/82,784
6. Step 6: Final answer
   x = 157,725.84